LIBRARY 

OF  THE 

UNIVERSITY  OF  CALIFORNIA. 

RECEIVED    BY   EXCHANGE 

Class 


THE  MEAN   RIGHT 

ASCENSIONS  AND  PROPER  MOTIONS 

OF   130  STARS 


BY 


EDITH   D.  KAST 


A  THESIS 

PRESENTED  TO  THE  FACULTY  OF  PHILOSOPHY  OF  THE 

UNIVERSITY  OF  PENNSYLVANIA  IN  PARTIAL  FULFILLMENT  OF  THE  REQUIREMENTS 
FOR  THE  DEGREE  OF  DOCTOR  OF  PHILOSOPHY 


l»nESS  OF 
LANCASTER.    PA. 

1909 


THE  MEAN  RIGHT 

ASCENSIONS  AND  PROPER  MOTIONS 

OF  130  STARS 


BY 


EDITH   D.  KAST 


A  THESIS 

PRESENTED  TO  THE  FACULTY  OF  PHILOSOPHY  OF  THE 

UNIVERSITY  OF  PENNSYLVANIA  IN  PARTIAL  FULFILLMENT  OF  THE  REQUIREMENTS 
FOR  THE  DEGREE  OF  DOCTOR  OF  PHILOSOPHY 


PRESS  OF 

THE  NEW  ERA  PRINTING  COKPANT 

LANCASTER,   PA. 

1909 


THE  MEAN  RIGHT  ASCENSIONS  AND  PROPER 
MOTIONS  OF  130  STARS. 

The  stars  whose  right  ascensions  and  proper  motions  are  discussed  in  this  paper  are 
the  stars  now  used  by  Prof.  C.  L.  Doolittle  in  his  investigation  of  the  variation  of  latitude 
at  the  Flower  Observatory  of  the  University  of  Pennsylvania.  For  his  work  the  declina- 
tions of  these  stars  have  been  reduced  in  the  same  way  as  the  right  ascensions  are  in  this 
paper.  With  Prof.  Doolittle's  permission  the  data  of  the  declinations  and  the  results  of 
that  investigation  are  given  tor  the  sake  of  completeness  in  this. 

THE   CATALOGS. 

The  following  catalogs  were  employed  as  the  basis  of  the  reduction.  For  all  catalogs 
for  which  Boss*  gives  systematic  corrections  and  weights  these  have  been  used.  In  other 
cases  such  corrections  and  weights  have  been  derived  indirectly  through  Auwers'f  system 
but  Auwers'  weights  have  been  multiplied  in  right  ascension  by  .694  and  in  declination 
by  1.414  to  bring  them  more  nearly  into  accordance  with  Boss1  weights.  For  a  few, 
weights  were  derived  through  Davis'  J  assignment  by  comparing  with  catalogs  common 
to  both  Boss  and  Davis.  In  a  few  cases,  special  methods  were  used  which  are  designated 
in  the  explanatory  notes  that  accompany. 

In  these  notes  s  designates  the  systematic  correction  in  right  ascension,  s'  that^in 
declination,^*  the  weight  in  right  ascension  and  p'  that  in  declination. 

1.  BRADLEY.      1755.      Neue  Reduction  der  Bradleyschen   Beobachtungen  aus  den  Jahren 
1750  bis  1762.     Von  Arthur  Auwers.     St.  Petersburg,  1888. 

2.  LALANDE.     1800.     A   Catalogue  of   those  Stars  in   the   Histoire   Celeste   Frangaise   of 
Jerome  de  Lalande  for  which  tables  of  reduction  to  the  epoch  1800  have  been  published  by  Prof. 
Schumacher.     Francis  Bailey,  Esq.  5  and  5'  same  as  4.     Very  small  weights  were  given  Lalande's 
places,     t  was  taken  from  the  Paris  catalogs. 

3.  D'AGELET.     1800.     Reduction   of  the   Observations   of   Fixed   Stars    made   by  Joseph 
Lepante  dAgelet  at  Paris  in  1783-1785  with  a  catalog  of  the  Corresponding  Mean  Places  referred 
to  the  equinox  of  1800.0.     By  B.  A.  Gould.     Washington,  1866. 

5  =  o'.i2  +  reduction  from  Auwers  to  Boss 
5'  ==  Piazzi  —  i".42         oh  to  XIP 
5'  =  Piazzi  +  i".22         XIP  to  XXIV 

*  Cf.  Astronomical  Journal,  Nos.  549-550. 

f  For  the  reduction  to  Auwers'  system  cf.  Auwers'  "Tafeln  zur  Reduction  von  Sterncatalogen  auf  das  System  des 
Fundamentalcatalogs  des  Berliner  Jahrbuchs  "  published  as  Supplement  No.  7  to  Astronomische  Nackrichten,  also  Ast. 
Nach.,  Bd.  134,  Nos.  3195-3196  for  a  few  other  catalogs.  For  the  reduction  from  Auwers'  system  to  Boss'  cf.  Ast.  Journal, 
v.  23,  p.  22.  For  Auwers'  weights  cf.  Ast.  Nach.,  Bd.  151,  No.  3615. 

JCf.  "Declinations  and  Proper  Motions  of  Fifty-six  Stars." 

3 


228152 


4  THE    MEAN    RIGHT    ASCENSIONS    AND    PROPER   MOTIONS    OF    130    STARS. 

4.  PIAZZI.     1800.     Prascipuarum  stellarum  inerrantium    Positiones   Media;  Ineunte  Seeculo 
XIX  ex  observationibus  habitas  in  Specula  Panormitana  ab  anno  1792  ad  annum  1813.     Panormi, 
1814. 

5.  GROOMBRIDGE.     1810.     A  catalog  of  Circumpolar  Stars  deduced  from  the  observations  of 
Stephen  Groombridge  at  Blackheath  Observatory.     Edited  by  George  Biddell  Airy,  Esq.  London, 
1838.     The  new  reduction  of  Groombridge  by  Dyson  and  Thackeray  of  the  Royal  Observatory, 
Greenwich,  came  after  the  work  was  finished  but  the  reduction  in  declination  was  revised  for  those 
stars  whose  place  in  the  new  differed  more  than  .5"  from  that  in  Airy's.     For  Airy's  s'  as  in  Boss' 
Declinations  of   Fixed    Stars.     U.    S.    Northern    Boundary   Commission.     Report  of   the   Chief 
Astronomer.     Appendix  H. 

6.  DORPAT.     1815. 

7.  WEISSE-BKSSEL.     1825.     Bessel's  zone   observations   reduced   by   Maximillian   Weisse. 
p  =  .i,  s'  =  o. 

8.  AUWERS' KONIGSBERG.      1825.     Auwers'  reduction  of  some  newly  found  zone  observations 
made  by  Bessel.     The  reduction  based  on  Auwers'  system. 

9.  ABO.     1830.     DLX  Stellarum  Fixarum  Positiones  Mediae  ineunte  anno  1830  ex  observa- 
tionibus Aboee  habitas  deduxit.     Fredr.  Guil.  Aug.  Argelander.     Helsingforsias,  1835. 

10.  STRUVE.      1830.     Stellarum    Fixarum  imprimis    duplicium  et  multiplicium    pro  epocha 
1830.     Petropli,  1852. 

11.  STRUVE.     1832. 

12.  STRUVE.     1836.     5,  5',  p  and  -p'  as  for  Dorpat,  1830. 

13.  MADRAS.      1835.     A  General  Catalog  of  the  Principal  Fixed  Stars  from  Observations 
made  at  the  Honorable  East  India  Company's  Observatory  at  Madras  in  the  years  1830  to  1843. 
By  Thomas  Glanville  Taylor.     Madras,  1844. 

14.  RUMKER.     1836.     Mittlere   Oerter  von  12,000  Fixsternen  fur   den  Anfang  von   1836, 
abgeleitet  aus  den  Beobachtungen  auf  der  Hamburger  Sternwarte  von  Carl  Rumker.     Hamburg, 
1852. 

15.  ARMAGH.     1840.     Places  of  5345  Stars  observed  from  1828  to  1854  at  the  Armagh  Ob- 
servatory.    By  Rev.  T.  R.  Robinson.     Dublin,  1859. 

16.  GREENWICH.     1840.     Catalogue  of  2156  Stars  formed  from  the  Observations  made  from 
1836  to  1841  at  the  Royal  Observatory,  Greenwich.     London,  1849. 

17.  OELTZEN'S  ARGELANDER.     1842.     Annalen  der  K.   K.  Sternwarte  in  Wien.      Bd.   i. 
Wien,  1851.     s,  s',  -p  and  p'  same  as  for  Abo. 

18.  GREENWICH.      1845.     Catalogue  from  Observations  from  1842  to  1847. 

19.  PARIS.     1845.     Catalogue  de  1'  Observatoire  de  Paris.     Etoiles  observees  aux  Instru- 
ments Meridiens  de  1837  a  1853. 

20.  RADCLIFFE.     1845.     The  Radcliffe  Catalogue  of  6317  Stars,  chiefly  Circumpolar  reduced 
to  the  Epoch  1845.     Formed  from  the  Observations  made  at  the  Radcliffe  Observatory  under  the 
Superintendence  of  Manuel  John  Johnson.     Oxford,  1860. 

21.  GILLISS.     1850.     A  Catalogue  of  1963  Stars  and  of  290  Double  Stars  observed  by  the  U. 
S.  Naval  Astronomers  during  the  Expedition  to  the  Southern  Hemisphere.     Appendix  i  to  Wash- 
ington Yearly  Observations  for  1868. 

22.  GREENWICH.     1850.     Catalogue  of  1576  Stars  formed  from  Observations  made  during 
Six  Years,  from  1848  to  1853,  at  the  Royal  Observatory,  Greenwich. 

23.  MADRAS.     1850.     A  Subsidiary  Catalogue  of  1440  Stars  selected  from  the  British  Asso- 


THE    MEAN    RIGHT   ASCENSIONS    AND    PROPER    MOTIONS    OF    130   STARS.  5 

ciation  Catalogue,  reduced  to  Jan.  i,  1850,  from  Observations  made  at  Madras  in  the  years  1849 
to  1853.     Madras,  1854. 

24.  SONNTAG.     1850.     Mittlere  Oerter  fur  1850  von  Vergleichsternen  zum  Cometen  I  1850. 
Ast.  JVach.,  Bd.  XXXIV.     -p  same  as  19 ;  5=  .050  +  reduction  from  Auwers  to  Boss;  5'   as  in 
Auwers  for  Busch  1838  +  reduction  from  Auwers  to  Boss. 

25.  WROTTESLEY.     1850.     A  Catalogue  of  the  Right  Ascentions  of  1009  Stars  contained  in 
the  Catalogue  of  the  British  Association  for  the  Advancement  of  Science.     By  Lord  Wrottesley. 
Memoirs  R.  A.  S.,  Vol.  XXIII.     Based  on  Nautical  Almanac. 

26.  ALTONA.     1855.     5  and  s1  as  for  Sonntag  1850. 

27.  POULKOVA.     1855.     Positions  Moyenne  deduites  des  observations  faites  au  cercle  meridien 
1840-1869  et  reduites  a  1'epoque  1855.0.     Observations  de  Poulkova,  Vol.  VIII.     St.  Petersburg, 
1889. 

28.  GREENWICH.     1860.     Seven  Year  Catalogue  of  2022  Stars  deduced  from  Observations 
extending  from  1854  to  1860  at  the  Royal  Observatory,  Greenwich. 

29.  PARIS.     1860.     Catalogue  de  I'Observatoire  de  Paris.     Etoiles  observees  de  1854  a  1867. 

30.  RADCLIFFE.     1860.     Second  Radcliffe  Catalogue,  containing  2386  Stars  deduced  from 
observations  extending  from  1854  to  1861 .     Oxford,  1870. 

31.  YARNALL.     1860.     Catalogue  of  Stars  Observed  at  the  United  States  Naval  Observatory 
during  the  years  1845  to  1877.     Third  edition  revised .     Washington,  1889. 

32.  GREENWICH.     1864.     New  Seven  Year  Catalogue  of  2760  Stars,  deduced  from  Observa- 
tions extending  from  1861  to  1867  at  the  Royal  Observatory,  Greenwich. 

33.  BRUSSELS.     1865.     Catalogue  de  10,792   Etoiles  observees   a  I'Observatoire  Royal  de 
Bruxelles  de  1857  a  1878 .     Par  Ernest  Quetelet.     Bruxelles,  1887. 

34.  POULKOVA.     1865.     Ascensions  droites  Moyenne  des  Etoiles  occasionnellement  observees 
pour  1865.0.     Observations  de  Poulkova,  Vol.  XII. 

35.  GLASGOW.     1870.     Catalogue  of  6415  Stars  for  the  Epoch  1870,  deduced  from  Obsert 
vations  made  at  the  Glasgow  University  Observatory  during  the  Years  1860  to  1881.     By  Rober- 
Grant.     Glasgow,  1883. 

36.  GREENWICH.     1872.     Nine  Year  Catalogue  of  2263  Stars  deduced  from  Observations 
extending  from  1868  to  1876,  made  at  the  Royal  Observatory,  Greenwich. 

37.  BONN.     1873.     (One  observation  from  this  was  taken  from  Kiistner's  Veroffentlichung 
der  Koniglichen  Sternwarte  zu  Bonn,  No.  2,  but  Bonn  1873  was  not  found.) 

38.  ASTRONOMISCHE  GESELLSCHAFT  ZONES.     1875.    These  include  all  of  this  series  between 
26°  and  53°.     p  and  f  taken  as  i.o.     Based  on  Auwers'  system. 

39.  ARMAGH.     1875.    Second  Armagh  Catalogue  of  3300  Stars  for  the  Epoch  1875,  deduced 
from  Observations  made  at  the  Armagh  Observatory  during  the  Years  1859  to  I&&3-     Dublin,  1886. 

40.  BECKER.      1875.      Resultate    aus  Beobachtungen  von  521   Bradley'schen  Sternen   am 
grossen  Berliner  Meridiankreise  von  Dr.  E.  Becker.     Berlin,  1881.     Based  on  Auwers'. 

41.  KAM.     1875.     Catalog  von  Sternen  deren  Oerter  durch  selbstandige  Meridian  Beobach- 
tungen bestimmt  worden  sind  aus  Band  67  bis  112  der  Ast.  Nach.  reducirt  auf  1875.0.     Amster- 
dam, 1901.     The  original  observations  were  looked  up  and  given  such  weights  as  seemed  best  in 
each  case. 

42.  WASHINGTON.    1875.    The  Second  Washington  Catalogue  of  Stars prepared  under 

the  Direction  of  J.  R.  Eastman. 

43.  PARIS.     1875.     Catalogue  de  I'Observatoire  de  Paris.    Etoiles  observees  de  1868  a  1881. 


6  THE    MEAN    RIGHT   ASCENSIONS   AND    PROPER    MOTIONS    OF    130    STARS. 

44.  POULKOVA.     1875.    Catalog  von  5634  Sternen  fur  die  Epoche  1875.0,  aus  den  Beobach- 
tungen    am   Pulkowaer   Meridiankreise  wahrend   der  Jahre    1874-1880  von  H.  Romberg.     St. 
Petersbourg,  1891. 

45.  STOCKHOLM.     1875.     Results  of  Meridian  observations  found  in  the  first  five  volumes  of 
the  publications  of  the  Stockholm  Observatory,     p  and^V  same  as  43.     Based  on  Auwers'  S3rstem. 

46.  RESPIGHI.     1875.    Catalogo  delle  Declinazione  Medie  pel  1875.0  di  1463  Stelle  comprese 
fra  i  paralleli  20°  e  64°  nord .     Roma,  1880. 

47.  GREENWICH.     1880.     Ten  Year  Catalogue  of  4059  Stars,  deduced  from  Observations 
extending  from  1877  to  J886  at  the  Royal  Observatory,  Greenwich. 

48.  DE  BALL.     1880.     Declinationen  von  200  Sternen  innerhalb  der  Zone,  +  49°  bis  51°, 
nach  Beobachtungen  im  ersten  Vertical  am  Passagen-instrumente  der  Herzoglichen  Sternwarte  zu 
Gotha.     Ast.  Nach.,  Bd.  ci,  353.     s  and  5'  reduction  from  Auwers'  to  Boss'. 

49.  CAPE  OF  GOOD  HOPE.     1890.     A  Catalogue  of  3007  Stars  for  the  Equinox  1890  from 
Observations  made  at  the  Royal  Observatory,  Cape  of  Good  Hope,  during  the  years  1885  to  1895. 

50.  CINCINNATI.     1890.     A  Catalogue  of  2000  Stars  for  the  Epoch  1890.     Publications  of 
the  Cincinnati  Observatory,  No.  13.     Based  on  Auwers'  system. 

51.  DUNSINK.     1890.     Mean  Places  of  717  Stars  deduced  from  Observations  made  with  the 
Meridian  Circle  at  Dunsink.     Dublin,  1896.     p  and  p'  same  as  50.     5  and  s'  the  reduction  from 
Auwers'  to  Boss'. 

52.  GLASGOW.     1890.     Second  Glasgow  Catalogue  of  2156  Stars  for  the  Epoch  1890  deduced 
from  Observations  made  at  the  Glasgow  University  Observatory  during  the  Years  1886  to  1892. 
Glasgow,  1892. 

53.  GREENWICH.     1890.     Catalogue  of  Stars  from  Observations  extending  from  1887  to  1896. 

54.  BERLIN.     1890.     (Kiistner  refers  to  several  of  these  in  Veroffentlichung  der  Koniglichen 
Sternwarte  zu  Bonn,  No.  2.     They  were  his  own  observations  but  I  could  find  them  nowhere 
else.) 

55.  RADCLIFFE.     1890.     Catalogue   of    6424    Stars   for   the   Epoch    1890.     Formed   from 
Observations  made  at  the  Radcliffe  Observatory,  Oxford,  during  the  Years  1880  to  1893. 

56.  BATTERMANN.     1895.     Resultate  aus  Beobachtungen  von  379  Anhaltsternen  und  1640 
durch  Anschluss  bestimmten  Sternen,  angestellt  in  den  Jahren  1892-1897  am  Grossen  Berliner 
Meridiankreise  von  Dr.  H.  Battermann.     Berlin,  1899.     5  and  5'  the  reduction  from  Auwers'  to 
Boss'. 

57.  CINCINNATI.     1895.     Catalogue  of  2030  Stars  for  the  Epoch  1895.     Publications  of  the 
Cincinnati  Observatory,  No.  14.     5  and  5'  the  reduction  from  Auwers'  to  Boss'. 

58.  TUCKER.     1897.     Publications  of  the   Lick   Observatory,   Vol.    VI,    Meridian   Circle. 

^'  =  3-0. 

59.  CINCINNATI.     1900.     Reobservations  of  more  than  4000  Piazzi  stars.     Based  on  Auwers'. 

60.  DUNSINK.      1900.     Mean  Places  of  noi  Stars  deduced  from  Observations  made  with  the 
Meridian  Circle  at  Dunsink.     p,  p' ,  5  and  s'  as  for  51. 

61.  KUSTNER.      1900.     Veroffentlichung  der  Koniglichen  Sternwarte  zu  Bonn.     Nos.  5  and 
6.     5  and  s'  the  reduction  from  Auwers'  to  Boss'. 

62.  WASHINGTON.      1901.     Observations  made  in  the  prime  vertical  by  Prof.  Hill,     s'  =  o, 
/'  =  5-o. 

63.  LICK  OBSERVATORY.     1906.     Observations   made   by  Tucker.     Based  on   Newcomb's 
system.     5  and  5'  reduction  from  Newcomb  to  Boss  ;  p  =  5.0,  p'  =  5.0. 


THE  MEAN  RIGHT  ASCENSIONS  AND  PROPER  MOTIONS  OF  130  STARS.  7 

YEARLY  SERIES. 

64.  1835  to  1869.     EDINBURG.     Astronomical  Observations  at  the  Royal  Observatory,  Edin- 
burg.     Only  a  few  of  these  places  were  used.     5'  as  in  Boss'  Declinations  of  Fixed  Stars. 

65.  1862  to  1876.     RADCLIFFE.     Results  of  Astronomical  Observations  made  at  the  Radcliffe 
Observatory.     5,  p  and  p'  same  as  Radcliffe,  1860 ;  s'  from  1867  to  1873  from  Boss'  Declinations 
of  Fixed  Stars ;  s'  from  1874  to  ^76  the  mean  of  reductions  for  1871,  1872  and  1873. 

66.  1862  to  1887.     MADRAS.     Meridian  Circle  Observations. 

67.  1879  to   1882.     BRUSSELS.     Annales   de  1'Observatoire  Royal  de  Brusselles,  Nouvelle 
Series.     5  and  s'  same  as  for  Nautical  Almanac. 

METHOD   OF   REDUCTION. 

Approximate  places  for  1875.0  were  obtained  and  with  these  the  differential  coeffi- 
cients for  1875  were  computed,  using  the  constants  of  Struve  and  Peters.  The  formulae 
for  these  differential  coefficients  are  as  follows : 

da. 

~Tt  —  3*-°7225  +  [0.126  115]  sin  at  tan  S  +  /tt 

-jj  =  [i  .302  206]  cos  a  +  /*' 

-J7=  [5-988]  p  cos  a  tan  8  -f  [4.812]  /*'  sin  a.  sec2  8  -f  [4.99]  MM'  tan  8 
-gp  =  [4.63380,,]  (  -^  —  /*  J  +  [5 .98778]  ( -^  +  /*  j  cos  a  tan  8  +  [4.81 169]  (-^  +  yJ  J  sin  a  sec2  8 

\  /  \  /  \  / 

4-  [4.9866]^'  tan  8  -f  os.ooo  032  210 
-jjT  =  [4-6338oJ^-  -/*')  +  [7-16387,,]^  +  /i)sin  a  +  [6.7367,,]  MZ  sin  28 

d*S  (da.      fj\  (d^a.      dfj\  _  (da. 

-TX  =  [2.098711  -j-  +  -  Ism  a  +  [7. 1630.]    -T72  +  ~    1  smot  +  [3. 0255.] I  -j-  4 
OF  -i\d£      2J  oy  •*\dt        dt )  *\dt 

where  the  numbers  enclosed  in  brackets  are  logarithms 

a  =  the  right  ascension, 
8  =  the  declination, 
ji  =  proper  motion  in  right  ascension, 
and  /i/  =  proper  motion  in  declination. 

For  calculating  d3a/  df  the  tables  of  Oppolzer  were  used  (Lehrbuch  zur  Bahnbestimmung 
der  Kometen  und  Planeten,  Vol.  I,  Table  XII)  which,  because  of  the  small  zenith  dis- 
tances of  all  the  stars  on  the  list,  were  sufficiently  accurate.  For  checking  these  values 
use  was  made  of  Gould's  Tables*;  for  checking  the  other  differential  coefficients  Oppol- 
zer's  Tables  were  used. 

*  Catalogo  de  Las  Zonas  Estelares,  Appendix,  Table  IV.     Cordoba,  1884.     In  using  this  table  the  value  of/*  as  given  in 
column  four  should  be  doubled.     Cf.  Ast.  Nach.,  Bd.  137,  s.  295. 


da 


8  THE    MEAN    RIGHT   ASCENSIONS    AND    PROPER    MOTIONS    OF    130    STARS. 

Then  the  assumed  places  for  1875.0  were  reduced  to  the  epochs  of  the  various  cata- 
logs in  which  the  star  was  found,  making  use  of  the  formulae 


where  T=  epoch  of  the  catalog. 

If  in  the  catalog  in  question  proper  motion  was  assumed  in  deriving  the  star's  place, 
there  is  need  of  applying  a  correction  for  proper  motion. 
If  T=  epoch  of  the  catalog 

t  =  mean  date  of  observation 
JLI,,  =  proper  motion  used  in  the  catalog 
p.  =  proper  motion  assumed  in  this  investigation 
then  the  correction  A^o.  =  (T  —  /)(/*  —  /AO). 

Comparing  the  catalog  place,  corrected  by  the  systematic  correction  and  the  correc- 
tion for  proper  motion,  with  the  assumed  place,  carried  back  as  explained  to  the  epoch  oi 
the  catalog  we  get  an  equation  of  the  form 

A«  +  A/A  •  T  =  «obscrved  —  "computed  =  « 

where  Act  is  the  correction  to  our  assumed  right  ascension, 

A/*  the  correction  to  our  assumed  proper  motion  and  T  is  the  difference  1875  —  /. 
Giving  the  equation  such  a  weight  as  the  catalog  is  thought  to  merit,  it  takes  the  form 

Vp(b.a.  -\-Ap.r  =  ri)  where  p  is  the  weight. 

Each  catalog  will  give  such  an  equation  and  solving  the  system  of  equations  so  obtained 

for  the  star,  by  the  method  of  least  squares,  the  most  probable  values  of  Aa  and  AJU,  will 

be  determined. 

The  method  of  solving  the  system  of  equations  was  the  following: 
Let  4  be  the  weighted  mean  of  the  epochs  of  observation  of  the  various  catalogs. 
t\,  t<i>  •••  tn  be  the  epochs  of  observation  of  the  respective  catalogs  then 

*..  V  "  •  T.-  ('.  -  0.  (',  -  '„).  •  •  •  (<„  -  '.) 
and  2,pT  should  be  zero. 

Aa  and  A/A  are  given  by 

Aa  =  and    A/i=  Aai875  =  Aa  +  (I875  - 

The  final  check  is 


The  lollowing  example  will  illustrate  the  various  steps  in  the  process. 

=  69-81  2X- 


THE    MEAN   RIGHT  ASCENSIONS   AND    PROPER   MOTIONS    OF    130    STARS. 
=  1869.81  1,pn2  =  .0455 

n 

=  —  .0242  —  (2j»»)Aa  =  —  .0057 


9-6S 

+  4.1720 

A/a  =  -v-1        -  =  +  .00065 
6412.07 

Aa187.=  —  .0242  +  (.00065  x  5.19)=  —  .0208 


=  —  .0027 


Check  .0371 


ASSUMED  COORDINATES  AND  PROPER  MOTIONS  FOR  1875.0. 

a  =  17     49     13.980  fi  =+.0005 

d  =  4o       I     57.56  /i'  =  +.o64 


Epoch. 

No 

No. 

Catalog. 

Cat 

Obs. 

Obs. 

MO 

M  —  Mo 

T—t 

v 

"O       ae 

-V 

""O       ac 

n 

p 

ft 

r 

f> 

>» 

t* 

/T» 

V 

=  T 

=  t 

I 

Bradley 

1755 

1755-6 

I 

+.0005 

OOOO 

-  0.6 

ooo 

—.046 

—.046 

.1 

-4-44 

—  114.21 

—  11.42 

—  .0046 

1304.16 

+   -5253 

—.052 

2 

Lalande 

1800 

93-6 

+  .0005 

+  6-4 

+.003 

-.356 

—.353 

•05 

—  -32 

-   76.21 

-3-8i 

—.0176 

290.32 

+  I-34I  I 

+.279 

3 

Piazzi 

oo 

10 

—.03 

+  .0305 

—.056 

—.056 

.1 

o.oo 

—  69.81 

—  6.98 

—.0056 

487.20 

+   -3909 

—  .014 

4 

D'Agelct 

00 

1803.5 

+.0005 

-  3-5 

—  .002 

-.189 

—.191 

•05 

.18 

—  66.31 

—  3-32 

—  .0096 

220.12!+  .6365 

+.124 

5 

Groombridge 

10 

io-5 

6 

+.0005 

—  0.5 

OOO 

+.087 

+.087 

.1 

1.05 

—   59-31 

—  5-93 

+.0087 

351.65 

—  -5I59 

—.150 

6 

Madras 

35 

37-1 

7 

+  .0005 

—   2.1 

—  .001 

-.277 

—.278 

.2 

7.42 

—   32.71 

—  6.54 

—.0556 

213.86 

+  1.8181 

+.232 

7 

Riimker 

36 

40.0 

i 

+.0005 

—  4.0 

—  .002 

-.189 

—.191 

•05 

2.OO 

—   29.81 

—  1-49 

—  .0096 

44.40 

+  .2861 

+.147 

8 

Armagh 

40 

37-2 

7 

+.0005 

+    2.8 

+  .001 

—.018 

-.017 

.2 

7-44 

—  32.6l 

-  6.52 

—.0034 

212.55 

f-  .1108 

—.028 

9 

Edinburg 

43 

43-5 

3 

+  .0005 

—  0.5 

ooo 

—.107 

—.107 

.2 

8.70 

—   26.31 

-5-26 

—.0214 

138.34 

f  .5628 

+.066 

10 

Radcliffe 

45 

47-3 

6 

+.0005 

—  2.3 

—  .001 

—.064 

-.065 

•5 

23.65 

-   22.51 

—  11.26 

—.0325 

253-35 

+  -7312 

+.026 

ii 

Paris 

45 

49-7 

7 

+.0005 

—  4-7 

—  .002 

+.054 

+.052 

.8 

39.76 

—   2O.II 

—  16.09 

+.0416 

323-41 

-  .8362 

—.089 

12 

Pulkova 

55 

5  1.8 

4 

+.0005 

0000 

+   3-2 

ooo 

—  .063 

—.063 

•5 

25.90 

—   18.01 

—  9.00 

—  0315 

162.09 

+  -5670 

+.027 

13 

Yarnall 

60 

53-6 

4 

+.0005 

+  6.4 

+.003 

—  .021 

—.018 

.4 

21.44 

—  16.21 

-  6.48 

—.0072 

104.98 

+  .1166 

—.017 

14 

Paris 

60 

67.0 

2 

+.0005 

-  7-0 

—  .004 

—.162 

—.166 

.2 

1340 

—      2.8l 

—  0.56 

—•0332 

1-57 

+  -0930 

+.140 

15 

Greenwich 

64 

66.3 

3 

—  .004 

+.0045 

—  2.3 

—  .010 

+.019 

+.009 

.6 

39.78 

-      3-51 

—   2.  II 

+.0054 

7.38 

—  .0189 

-.035 

16 

Brussels 

65 

63.6 

2 

+.0005 

+  1-4 

+  .001 

—  .004 

—.003 

.2 

12.72 

-      6.21 

—    1.24 

—  .0006 

7.69 

+  -0037 

—.025 

17 

A.  G. 

75 

89.5 

6 

+.0005 

—14-5 

—  .007 

—  .010 

—.017 

I.O 

89.50 

+    I9.69 

+  19.69 

—  .0170 

387.89 

—  -3349 

+.006 

18 

A.  G. 

75 

71.6 

+.0005 

0000 

+  3-4 

ooo 

+.031 

+.031 

I.O 

7I.6o 

+     1-79 

+  1-79 

+.0310 

3.22 

+  .0558 

—.054 

19 

Romberg 

75 

78.7 

2 

+.0005 

OOOO 

—  3-7 

ooo 

+.005 

+.005 

•3 

23.6l 

+    8.89 

+  2.67 

+.0015 

23.76 

+  .0134 

—.023 

20 

Greenwich 

80 

86.3 

4 

+.0005 

OOOO 

-6.3 

ooo 

—  .050 

—  .050 

1.2 

103.56 

+  16.49 

+  19-79 

—.0600   326.54 

—  -9894 

+.036 

21 

Greenwich 

90 

95.9 

3 

+.0005 

OOOO 

—  5-9 

ooo 

+.006 

+.006 

-7 

67.13 

+  26.09 

+  18.26 

+.0042!  476.59 

+  .1096 

—.013 

22 

Bonn 

1900 

98.5 

2 

+.0005 

+  i.5 

+  .001 

—  .019 

—.018 

•5 

49.25 

+  28.69 

+  14-34 

—.0090!  411.56 

-  -2583 

+.012 

23 

Cincinnati 

1900 

1900.5 

3 

-I-.0005 

—  0.5 

ooo 

—  .Oil 

—  .Oil 

•7 

70-35 

+  30.69 

+21.48 

—.0077 

659-44 

—  -2363 

+  .007 

9.65 

673.68 

+   O.OI 

—.2337 

6412.07 

+4.1720 

FINAL  VALUES. 

0=17    49    13-959 


The  proper  motions  derived  by  this  reduction  were  changed  later  by  the  necessary 
amount  to  pass  over  to  Newcomb's  constants  from  Struve  and  Peter's. 

THE   RESULTS. 

The  list  of  stars  which  follows  includes  5  (N)  found  in  Newcomb's  Fundamental 
Catalog,  and  i  (B)  found  in  H.  B.  Evans'  Mean  Right  Ascensions  and  Proper  Motions  of 
254  Stars.  The  places  of  these  have  been  taken  from  these  sources  and  corrected  by 
amounts  necessary  to  reduce  them  to  Boss'  system  and  Newcomb's  constants.  There 
were  also  5  (F.  O.)  Flower  Observatory  stars  whose  declinations  had  been  previously 
determined  by  Prof.  Doolittle  and  i  (D)  Davis  star.  The  declinations  of  these  six  were 
taken  from  the  sources  indicated  and  the  necessary  corrections  applied  to  bring  them  to 
Boss'  system  and  Newcomb's  constants.  The  differential  coefficients  da/  dt  and 
include  the  proper  motions  ju,  and  ju,'. 


IO  THE  MEAN  RIGHT  ASCENSIONS  AND  PROPER  MOTIONS  OF  130  STARS. 

DEFINITIVE  POSITIONS  1875.0. 


Me 

a!875 

da 

d*a 

(loo)»  d'a. 

/* 

*1»7» 

</8 
dt 

</=! 

(100)"  d*& 

M' 

A 

a 

A 
S 

'dt 

dt' 

6       dt' 

df 

6       dt' 

h    m         s 

O          t             II 

I 

4-7 

5  40  30.887 

+  4.15302 

+.OOO0600 

—  .027 

—.00254 

39    8     9.44 

+    1.6750 

—.006037 

—.032 

—.0275 

21 

22 

2 

5-7 

5  43  57-841 

+4.I7II6 

528 

—.028 

—  .00137 

39  32  22.49 

+    1.3837 

—      6077 

—  .026 

—.0180 

5 

5 

3 

6.9 

5  50  32.250 

+4.19906 

374 

—  .029 

+.00588 

40    i     5.87 

+  0.8351 

—       6115 

—.013 

+.0077 

5 

5 

4 

7.0 

5  58    7.259 

3.90742 

188 

—  .O2O 

+.00025 

32    o  13.30 

+  0.1637 

—      5700 

+.OO2 

—  .0007 

4 

4 

5 

7-3 

6    i  46.866 

4.54812 

+      65 

—.043 

—.00437 

47  55  39-31 

—  0.1893 

—      6640 

+.011 

—.0334 

7 

7 

6 

7.0 

6    8  52.560 

4-I9II3 

75 

—.028 

+.00257 

39  53  56.14 

—  0.8009 

—      6l02 

+  .023 

—.0245 

3 

3 

7 

7-4 

6  13  10.900 

4-38178 

—         253 

—.036 

+  .00018 

44  27  57.11 

—   I.I483 

6376 

+  .035 

+.0041 

7 

7 

8 

7.2 

6  14  50.114 

4.02707 

—         159 

—.023 

+.00106 

35  34  42.35 

—   1.320* 

-      5854 

+  .031 

—.0238 

5 

5 

9 

8.0 

6  17  24.853 

4.19374 

—         286 

—.028 

+.00374 

39  59  4447 

—   1.5648 

—      6087 

+•039 

—.0427 

5 

5 

10 

7-5 

6  i?  54.639 

4.18222 

—         293 

—.028 

+  .00241 

39  44  S'-SS 

—  1.5883 

6071 

+  .040 

—.0230 

4 

4 

ii 

7-5 

6  20    9.528 

4-I954I 

—         357 

—.028 

—  .00140 

40  ii  41.19 

-   L7853 

—      6090 

+.045 

—  .0240 

7 

7 

12 

5-8 

6  30    6.769 

4.18289 

—         595 

—  .027 

—.00113 

40    o  25.67 

-  2.6582 

6030 

+  .064 

—.0314 

21 

21 

13 

6.0 

6  35  48.071 

4.04107 

—         607 

—.023 

+.00180 

36  13  48.90 

—  3.II96 

-      58o7 

+  .068 

—  .0006 

8 

9 

14 

5-8 

6  37  43-685 

4.33378 

—         887 

—.032 

+.00193 

43  41  57.26 

—  3.1276 

—      622^ 

+  .085 

+.1580 

N 

N 

15 

7.0 

6  43  55.048 

4.17626 

—         924 

—  .026 

+.00048 

40    4  28.59 

-t  3.8473 

-      5963 

+.089 

—.0288 

6 

6 

16 

6.2 

6  48  49.667 

4.07923 

—         924 

—.023 

+.00295 

37  33  16.92 

—  4-2632 

5793 

+  .092 

—.0239 

8 

9 

17 

7-0 

6  50  27.862 

4-26435 

—          1  201 

—  .029 

—  .00189 

42  28  49.28 

—  4-3755 

—     6054 

+.108 

+.0035 

9      9 

18 

7-5 

6  55    0.613 

4-38059 

—          1493 

—.032 

—.00063 

45  1  4  3642 

—  4-8143 

6187 

+.125 

—.0479 

3      3 

19 

6.0 

6  57  57-100 

3-96283 

—            990 

—  .019 

—.00384 

34  39  42.63 

—  5.0758 

—     558o 

+  .101 

—  .0600 

19  F.  O 

20 

7-3 

7    3  53-389 

449034 

—          1960 

—.035 

+.00059 

47  48  53-17 

-  5.6080 

-     6272 

+.153 

—  .0911 

4 

5 

21 

6.8 

7    5    0-313 

3-87728 

996 

—  .Ol6 

—  .00180 

32  10  20.05 

—  5.6110 

—     54o8 

+.106 

—.0003 

7 

7 

22 

7-7 

7    9  37-119 

4.68847 

—          2575 

—  .042 

+.00065 

5i  43    2.79 

—  6.0662 

—     6499 

+.185 

—  .0690 

2 

2 

23 

7.6 

7  12  33-965 

3-75991 

—            951 

—.013 

4  .00270 

28   21      1.26 

—  6.2444 

5181 

+.107 

—.0018 

6 

6 

24 

7-3 

7  IS  56.954 

4-01363 

—          I4II 

—  .019 

+.00481 

36  33     2.40 

—  6.5669 

—     55oi 

+.133 

—.0438 

6 

6 

25 

7-1 

7  18    6.711 

4.26872 

—          1957 

—  .026 

+.00126 

43  3°  14.92 

—  6.7280 

-     5838 

+.161 

—  .0262 

ii 

12 

26 

7-3 

7  21  30.227 

4.07310 

—          1654 

—  .O2O 

—  .00240 

38  41  41-77 

—  7-0653 

—     5543 

+.148 

-.0847 

7 

7 

27 

7-9 

7  25    5.706 

4.17421 

—          1939 

—  .022 

+.00276 

41  26  19.64 

—  7.2868 

—     5639 

+.164 

—.0125 

6 

6 

28 

7.0 

7  29  20.013 

4.07946 

—          1841 

—  .019 

+.00086 

39    9  19.03 

—  7.6362 

—     5470 

+.161 

—.0177 

8 

8 

29 

7-4 

7  30  49-781 

4.14338 

—          2016 

—  .O2O 

+.00149 

4o  57    7-92 

—  7.7621 

—     5540 

+.170 

—  .0227 

3 

3 

3° 

7-2 

7  41  44.437 

4.08824 

—          2152 

--.017 

+.00059 

40    4  56.00 

—  8.6697 

—     5347 

+.182 

—.0588 

4 

4 

31 

7-8 

7  46  31.094 

4.07929 

2235 

—  .Ol6 

+.00350 

40    2  17.65 

-  9.0431 

—     5276 

+.188 

—.0566 

4 

4 

32 

7.0 

7  56  15-501 

4-05135 

—          2409 

—.014 

—.00399 

40    5  26.78 

-  9-7525 

—     5128 

+.200 

—  .0128 

8 

8 

33 

7-4 

12   22   38.061 

2.90504 

—         2888 

+.028 

—.00792 

50  19  35-99 

—19-9397 

+       505 

+.142 

+.0116 

4 

6 

34 

7-3 

12   25   38.473 

2.98181 

—          1280 

+.014 

—.00389 

30    o  17.87 

—  19.9472 

+       572 

+.152 

—.0235 

1 

7 

35 

7-3 

12   32   36.652 

2.85713 

—          2236 

+  .O22 

—.01912 

45  54  21.37 

—19.8837 

+       671 

+.133 

—.0373 

9 

9 

36 

7.0 

12   36   15.057 

2.90914 

-          1398 

+  .015 

—.01869 

34  22  41.30 

—  19.9201 

+       748 

+.140 

—.1214 

16 

17 

37 

7-8 

12   40  48.290 

2.80929 

—          2283 

+.023 

+.00084 

48    3  21.73 

-19-7599 

-1-       810 

+.126 

—.0279 

5 

5 

38 

7-5 

12  44  57-576 

2.90388 

—          1200 

+.014 

—  .00419 

32    9  29.90 

—19.7064 

+       9ii 

+.140 

—.0419 

6 

6 

39 

6.4 

12  49  13.739 

2-75421 

—          209! 

+.022 

—.00263 

47  52  30.06 

—  19.6028 

+       94i 

+.119 

—.0145 

10 

12 

40 

6.8 

12  54  27.441 

2.87389 

—           IIIO 

+.014 

+.00209 

32  27  13.80 

—19.5009 

+     1070 

+.134 

—.0152 

16 

16 

41 

6.3 

12   58   10.874 

2.75223 

—           I665 

+.018 

-(-.00091 

43  40  45-16 

—  19.4006 

+     1091 

+.118 

+.0058 

ii 

ii 

42 

5.6 

12  59  53.664 

2.81504 

—           1251 

+.015 

—.00159 

36  28    5.44 

-19.3718 

+     1144 

+.126 

—.0036 

N 

N 

43 

7.8 

13    3  59-586 

2-59959 

—           1984 

+.022 

—.00377 

51  49  20.25 

—19.3149 

+     1130 

+  .IOO 

—.0424 

2 

2 

44 

4-1 

13    6    2.350 

2.80589 

-             778 

+.012 

—.05964 

28  30  44.13 

-18.3498 

+     1219 

+.124 

+.8726 

N 

N 

45 

7-3 

13    J7   49-053 

2.69106 

—           1178 

+.014 

—.00618 

40    4  55.90 

—18.8898 

+      1392 

+  .110 

+.0146 

7 

7 

46 

6.2 

13  25  50.260 

2.61043 

—           Il62 

+.014 

—.00943 

42  44  59-27 

—18.6468 

+     H78 

+.IOO 

+.0123 

20 

20 

47 

7-3 

13  26  45.859 

2.69300 

—             950 

+.013 

—.00032 

37  27  43-99 

—18.6305 

+     1532 

+.109 

—  .0011 

12 

14 

48 

7-7 

13  35    6.046 

2.52340 

1  100 

+.014 

+.OO22O 

45  37  17-07 

—18.3808 

+     1562 

+.090 

—.0333 

5 

5 

49 

7-5 

13  40  32.601 

2.67029 

—         686 

+  .011 

—.00866 

34  41  ".05 

—18.1449 

+      1738 

+.106 

+.0055 

7 

7 

50 

6.8 

13  So  34.556 

2.55027 

—         724 

+  .011 

+  .00018 

40    4  35.63 

—17.7870 

+      1802 

+.091 

—.0267 

9 

9 

Si 

7.6 

14    5  15.403 

2.48544 

-         538 

+.010 

—  .OOI07 

40    7    6.76 

—17.1794 

+     1959 

+.084 

—.0510 

6 

6 

52 

8-5 

14  16  33.694 

2.43671 

—         405 

+.008 

—.00257 

40    8  26.04 

—16.4990 

+     2068 

+.079 

+.0949 

4 

4 

53 

7-3 

14  23  54.581 

2.40665 

—         323 

+.008 

—  .OO22I 

40  10  36.65 

—  16.2209 

2134 

+.075 

+.0037 

10 

10 

54 

5-0 

14  29  14.273 

2.61394 

—         150 

+.006 

+.01527 

30  17  20.78 

—15.8285 

+     2392 

+.090 

+•"79 

N 

N 

55 

6.0 

14  3°  17-399 

2.09810 

—         177 

+.007 

—•00543 

49  54  50.77 

—15.8458 

+     1926 

+.056 

+.0446 

18 

19 

56 

7.2 

14  37  36.095 

2.42482 

-         156 

+.006 

—  .00099 

37  17  24.07 

—15.5613 

+     2312 

+.075 

—.0689 

14 

P.O. 

57 

7-2 

14  40  46.803 

2.26272 

-          160 

+.006 

—.00733 

42  54  27.35 

—I5.2531 

2203 

+.064 

+.0614 

15 

P.O. 

58 

7-7 

14  50  40.626 

2.3U45 

—           60 

+.005 

+  .004O2 

40    9  32  42 

—14.7224 

2344 

+.065 

+.0192 

7 

7 

59 

6-5 

H  54  38.320 

2.29336 

27 

+.005 

—.00032 

4o    8  31.75 

—14.4656 

+     2372 

+.064 

+.0389 

ii 

12 

60 

5-5 

15     i  17457 

1.98620 

+          187 

+.003 

—.00631 

48  38    5.21 

—14.0797 

+       2110 

+.049 

+.0171 

24 

26 

THE    MEAN    RIGHT   ASCENSIONS    AND    PROPER    MOTIONS    OF    130    STARS. 

DEFINITIVE  POSITIONS  1875.0. —  Continued. 


ii 


Mg. 

alBT8 

da. 

d"- 

(ioo)»  d*<L 

n 

81875 

M 
dt 

</»« 
dt' 

(ioo)'  d'S 

*' 

A 
a 

A 
1 

dt 

df 

6      dt' 

6      dt' 

h    m         s 

a         t         II 

61 

7-7 

15    8  40.997 

+  I.94I06 

+  .0000268 

+  .O02 

—  .00127 

49    2  52.13 

—  I3-590I 

+  .002136 

+  .047 

+.0396 

10 

9 

62 

5-3 

15  17  59-935 

2.21699 

MS 

+  .003 

—  .00119 

40    i  43.02 

—  13-0338 

+       2516 

+.056 

—  .0129 

14 

16 

63 

7.2 

16  43  15.891 

2.09159 

360 

ooo 

—  .00169 

37  46  58.45 

—  6.6199 

+       2912 

+  .030 

—.0317 

6 

7 

64 

7-7 

16  47    8.778 

1.91719 

415 

—.001 

+.OOO2I 

42  17  24.87 

—  6.2288 

+       2683 

+  .026 

+.0375 

8 

7 

65 

7.8 

16  51  12.060 

1.99898 

+           380 

—  .001 

+.00063 

40    3  22.08 

-  5.9704 

+       28lO 

+  .026 

—.0419 

5 

5 

66 

7.0 

16  56  52.471 

1.72901 

+         475 

—  .002 

—.01279 

45  57  37.6o 

—  5-4036 

+       2468 

+  .022 

+.0489 

2 

2 

67 

7-7 

17    o  15.694 

1.75299   +            460 

—  .002 

+.00097 

45  37  23-81 

—  5.1897 

+       2491 

+  .021 

—  .0229 

2 

2 

68 

6.8 

17    6  24.106 

1.98459!  +            36l 

—  .001 

+  .00396 

40    o  21.44 

-  4-6185 

+       2830 

+.O20 

+.0276 

3 

3 

69 

7-5 

17    12    43.139 

2.26482]  +             307 

—.001 

—.00050 

31  39  14.98 

—  4-1335 

+       3252 

+  .021 

—.0266 

3 

3 

70 

6.7 

17  17  11.197 

J.  61808 

+         465 

—  .002 

+  .02096 

48  1  8  48.40 

—  3.7585 

+       2305 

+  .016 

—.0349 

4 

5 

7i 

6.5 

17    21       0.428 

2.40274 

+         291 

—  .001 

+  .00173 

26  59  17.77 

-  3.3738 

+       3466 

+.019 

+.0208 

7 

7 

72 

6.4 

17   22   38.871 

I.3I766 

560 

—  .003 

—  .01026 

52  54    4-05 

—  3-3082 

+       1925 

+.016 

—.0550 

5 

5 

73 

6.1 

17   26   29.69!: 

2.OO2O5 

+         312 

.001 

+  .OOOIO 

38  58  36.40 

—  2.9075 

+       2901 

+.013 

+.0131 

10 

P.O. 

74 

6.5 

17   30  41.088 

I.92I45 

+         321 

—  .002 

+  .00162 

40  59  28.15 

—  2.5340 

+       2788 

+  .OI2 

+.0235 

8 

8 

75 

7-1 

17  35  47-435 

1.77990 

+         332 

—  .002 

—.00537 

44    4    4-68 

—  2.0649 

+       2598 

+.010 

+.0491 

S 

8 

76 

7-9 

17  36  49.202 

2.11807 

+         279 

—  .001 

+.00531 

35  48    5.66 

—  2.0408 

+       3074 

+.010 

—  .0166 

2 

2 

77 

7-5 

17  43  54.36o 

1.95008 

+         255 

—  .002 

—  .00226 

40    i    8.08 

—  1.2872 

+       2840 

+  .006 

+.1196 

12 

12 

78 

5-°i  17  49  13-959 

I.95I5I 

+         253 

—  .001 

+.00124 

40    i  57-27 

—  0.9011 

+       2847 

4.005 

+.0405 

23 

24 

79 

7-o 

17  54  15-885 

2.II645 

+         243 

—  .001 

+.00269 

35  38  32-50 

—  0.5030 

+       3084 

+  .003 

—  .0013 

6 

5 

80 

6-5 

17  58  49-839 

1.76807 

+         260 

—  .002 

—  .00249 

44  14    2.59 

-  0.1474 

+       2582 

+.003 

—.0452 

7 

7 

81 

7-4 

18    3  55-641 

1.94698 

+         227 

—  .001 

—.00735 

39  54  12.31 

+  0.3796 

+       2848 

OOO 

+.0360 

7 

7 

82 

6.5 

18  13    8.913 

I.90I34 

183 

—  .002 

—.01511 

40  53  18.17 

+   1.2163 

+       2723 

—  .002 

+.0668 

18  F.  O. 

83 

7-9 

18  15  36.924 

1.99039 

197 

—  .001 

—  .00018 

39    2  16.00 

+    I.34I8 

+       2890 

—.004 

—.0232 

4 

4 

84 

8.4]  18  24  13.665 

I.95983 

174 

—  .001 

—.00003 

39  55    2.74 

+   2.0847 

+       2833 

—.007 

—.0308 

6 

6 

85 

7-7 

18  35  36.982 

1.96594 

+         157 

—  .001 

+.00231 

40    o  20.77 

+  3-0193 

+       28l6 

—  .on 

—  .0840 

4 

4 

86 

7-6 

18  45  23.160 

2.03892 

+         135 

—  .001 

+.00141 

38  17    2.30 

+  3.96o8 

+       2896 

—  .016 

+.0163 

7 

6 

87 

7-7 

18  47  52.008 

I.9I215 

+         I" 

—  .001 

+.00073 

4i  35  19-64 

+   4.1673 

+       2709 

—  .014 

+.0103 

5 

5 

88 

7.o|  18  52  45.989 

2.II650 

131 

—  .001 

+.00071 

36  18  15.91 

+  4.5769 

+       2985 

—  .019 

+.0016 

8 

9 

89 

7-41  18  55  15.938 

1.83646 

75 

—  .001 

—  .00164 

43  32  54.70 

+  4.8143 

+       2583!      —.016 

+  .0261 

5 

5 

90 

8.0 

18  59  52.935 

1.98935 

+         103 

—  .001 

—  .00169 

39  55  52.45 

+  5.I4IO 

+       2783 

—  .020 

—.0382 

8 

8 

91 

7-4 

19      2    21.420 

2.13624 

+             122 

ooo 

—  .00248 

35  56    5-79 

+  5-3772 

+       298l 

—  .023 

—  .0107 

12 

12 

92 

7-7 

19    4  18.453 

1.83881 

53 

—  .001 

+.00019 

43  50  16.61 

+  5.5505 

+       2553 

—  .019 

—.0018 

5 

5 

93 

7-9 

19  ii     6.181 

2.00895 

+           92 

ooo 

+  .OOII2 

39  53  42.98 

+  6.1046 

+       2762 

—  .024 

—  .0164 

7 

6 

94 

7-3 

19    8  12.235 

1.96328 

84 

—  .001 

+  .00334 

41     i  42.93 

+  5.8242 

+       2708 

—  .022 

—.0547 

3 

4 

95 

7.2 

19  12  52.366 

2.05431 

+           99 

ooo 

+  .00338 

38  48  14.08 

+  6.2913 

+       2814 

—.025 

+.0232 

9 

9 

96 

6.6 

19  17    3.315 

I.9I727 

+           58 

—  .001 

—  .00031 

42  27  11.29 

+  6.5959 

+       26l2 

—  .024 

—.0187 

7 

8 

97 

6.0 

19  18  17.058 

2.II064 

107 

ooo 

—  .00040 

37  20  28.80 

+  6.7194 

+       2872 

—.028 

+.0035 

5 

6 

98 

7-1 

20   50  4I.I82 

2.255II 

+         365 

+.004 

+.00269 

39  49  23.58 

+  13-5892 

+       2357 

—.058 

3 

3 

99 

7.8 

20  57  10.179 

2.27624 

+         4io 

+.005 

+  .00203 

39  49  11.01 

+  14.0102 

+       2314 

—  .060 

+.0095 

3 

3 

100 

7-9 

21      2      4.284 

2.30067 

+         447 

+  .005 

+  .00958 

39  49    4.98 

+  14.2691 

+       2280 

—  .062 

—.0354 

2 

2 

101 

6.6 

21  16    8.530 

2.33858 

+         599 

+.006 

—  .00263 

39  49  21.02 

+  14.9042 

+       2174 

—  .067 

—.2351 

7 

7 

102 

7-5 

21    23   59.533 

2.37167 

+         636 

+.007 

+  .OOI&0 

39  50  17.14 

+  15.5828 

+       2108 

—.071 

+  .0022 

5 

5 

103 

7.0 

21    27   54.786 

2.38878 

+         674 

+.007 

+.00419 

39  51  17.67 

+  15-7800 

+       2074      —.072 

—  .0142 

5 

5 

104 

5-0 

21    31    56.403 

2.40038 

714 

+.008 

+.00019 

39  51    9-77 

+  16.0199 

+       2039 

—.074 

+  .OII2 

N 

N 

105 

7-9 

21   40  38.329 

2.39051 

+         825 

+.009 

—.00365 

4i  35  25.91 

+  16.3990 

+       1924 

—.074 

—.0563 

2 

2 

106 

6.2 

21  43  18.008 

2.48679 

+         806 

+.008' 

+  .00295 

38    4    6.08 

+  16.5781 

+       1964 

—.082 

—  .0090 

9 

10 

107 

7-o 

21  47  11.879 

2.26213 

936 

+  .OIO 

—  .OOII6 

47  5'     1-72 

+  16.7822 

+     1735 

—.066 

+  .0060 

5 

5 

108 

6.8 

21  49  25.619 

2.62664 

+         723 

+.008 

+  .00089 

3'  44  53-33 

+  16.8821 

+      1993 

-.096 

3 

3 

109 

7-8 

21  54  24.930 

2.73050 

601 

+.008 

+.00103 

26  n     5.91 

+  17.1344 

+        2000 

-.108 

+  .0209 

10 

10 

no 

7-3 

21  55  34-280 

2.13610 

+        ion 

+  .OII 

—  .O0226 

53  30  31-86 

+  17.1495 

+        1537 

—.059 

—.0165 

5 

5 

in 

7.0 

21  59    3-073 

2.64595 

+         823 

+.009 

+  .OOOI9 

32  20  11.13 

+  17.3219 

+        I869 

—  .IOO 

+  .O006 

9 

9 

112 

7-2 

22      3   44.514 

2.37050 

+          I2OI 

+  .OI2 

+  .00284 

47  t9  20.45 

+  17.5075 

+        I6O2 

—.075 

—.0168 

15 

15 

"3 

7-7 

22      8   55.686 

2.55460 

U35 

+  .011 

+  .00275 

39  5i  53-46 

+  17.7389 

+        1658 

—  .092 

—.0013 

5 

5 

114 

7-5 

22    13   22.294 

2.75512 

+            8l5 

+.OIO 

+  .00507 

28  13  14.36 

+  17-9435 

+        1722 

—•"3 

+.0256 

7 

7 

«5 

7-8 

22    15      1.069 

2.34660 

+          1445 

+.015 

+.01461 

51    22   48.38 

+  17.9282 

+        1427 

—.073 

—.0540 

2 

2 

116 

7-8 

22    21      7.060 

2.68464 

+       1161 

+  .012 

+  .02082 

36    7  49.40 

+  18.3098 

+        1546 

—  .104 

+.0981 

6 

7 

117 

6.7 

22   22   43.562 

2.55213 

+       1428 

+.014 

+.OO228 

43  28  57.45 

+  18.2767 

+        1453 

—  .092 

+  .0066 

8 

8 

118 

7-7 

22    27  34.223 

2.62165 

+       1408 

+.014 

-J-.OOIOS 

40  42  26.87 

+  18.4162 

+        1421 

—  .IOO 

—.0244 

2 

2 

119 

7-5 

22    29  54.033 

2.65754 

+       1377 

+.013 

—  .00059 

38  56  21.59 

+  18.5152 

+         1406 

—.105 

—.0043 

16 

17 

120 

7.0 

22  33  48.919 

2.66503 

1467 

+.014 

+.00431 

39  57    0.91 

+  18.6042 

+        1345 

—.105 

—.0439 

5 

5 

12 


THE    MEAN    RIGHT   ASCENSIONS    AND    PROPER    MOTIONS    OF    130    STARS. 


DEFINITIVE  POSITIONS  1875.0. — Continued. 


rfa 

J'a. 

(ioo)»  <Pa 

J5 

d*& 

(too)'  </38 

**' 

A 

A 

Mg. 

al»7« 

dt 

dt* 

6         dt" 

dt 

df 

6      dt' 

121 
T77 

5-7 

77 

h      in          s 
22   35   53-004 

22  44     1.388 

+  2.67457 
2.71536 

+  .0001478 
+           I6o8 

+.014 

+.015 

—  .OOOgo 
+.00667 

o         /        ;/ 

39  34  22.61 
39  5i  19-28 

+  18.7081 
+  18.9394 

+  .001318 
+       1204 

—.107 
—  .112 

—.0056 
—.0179 

B 
7 

B 

T?1 

S8 

22   48   23.236 

2.74034 

+           1656 

+.015 

+  .00975 

39  42  39-J9 

+  19.1279 

+       U40 

—-"5 

+.0499 

J3 

D 

124 
1=5 

6.6 
7-6 

22  55    5-944 
22  57  28.564 

2.77925 

2-79445 

+           1670 

+        1681 

+.015 
+.015 

—  .00044 
+.OOOI9 

38    i  14.84 
37  37  36.32 

+  19.2233 
+  19.2591 

+       1050 
+       1015 

—  .122 
—.123 

—  .0272 
—.0484 

9 
7 

9 
7 

126 
127 

1?8 

6.8 
7-8 
66 

23    3  59.532 
23    7  19-527 
23  ii  24.214 

2.81239 
2.81381 
2.80496 

+       1831 
+       1994 
+       2290 

+.016 

+.017 

+.O2O 

+  .00046 
+  .00480 
+  .00937 

38  47  30.57 
40  48  12.61 
44  29    2.59 

+  19.4238 
+  19.4615 
+  I9-5257 

+       9°9 
849 

+       774 

—.126 
—.126 
—.124 

—.0295 
—.0603 
—.0743 

9 

2 

9 

9 

2 
10 

129 
IV> 

6.6 

6.Q 

23  13  22.602 

23    20   25.667 

2.88264 
2.88091 

+       1745 
+       2124 

+.015 
+.018 

+.00086 
—  .OO027 

35    8  31.46 
|  39  42  18.56 

+  19.6262 
+  I9-573I 

+       765 
+       637 

—.136 
—.137 

—.0094 
-.1778 

12 

5 

II 

5 

he  me 


tare 


328153 


